Consider an experiment that consists of selecting a card

Chapter 2, Problem 5E

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QUESTION:

Problem 5E

Consider an experiment that consists of selecting a card at random from an ordinary deck of cards. Let the random variable X equal the value of the selected card, where Ace = 1, Jack = 11, Queen = 12, and King = 13. Thus, the space of X is S = {1, 2, 3, . . . , 13}. If the experiment is performed in an unbiased manner, assign probabilities to these 13 outcomes and compute the mean μ of this probability distribution.

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QUESTION:

Problem 5E

Consider an experiment that consists of selecting a card at random from an ordinary deck of cards. Let the random variable X equal the value of the selected card, where Ace = 1, Jack = 11, Queen = 12, and King = 13. Thus, the space of X is S = {1, 2, 3, . . . , 13}. If the experiment is performed in an unbiased manner, assign probabilities to these 13 outcomes and compute the mean μ of this probability distribution.

ANSWER:

Step 1 of 3:

The experiment given is selection of card at random from a deck of cards.

 Let the random variable X be the value on the selected card,where the value of Ace=1,Jack=11,Queen=12 and King=13.

Therefore the sample space of X becomes,S={1,2,3,4,5,6,7,8,9,10,11,12,13}


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